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Finding the Fourth Proportional to 27,463.71, 41,198.98 and 7,743.80

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Solution

The fourth proportional to 27,463.71, 41,198.98 and 7,743.80 is: 11,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,463.71 : 41,198.98 = 7,743.80 : x
  2. Step 2: Convert to fraction form
    27,463.71/41,198.98 = 7,743.80/x
  3. Step 3: Cross multiply
    27,463.71x = 41,198.98 × 7,743.80
  4. Step 4: Simplify right side
    27,463.71x = 319,036,759.48
  5. Step 5: Solve for x
    x = 319,036,759.48/27,463.71
  6. Step 6: Final answer
    x = 11,616.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.